Finite Group Databasebeta

← #8399036

Subgroups — #8399036

Order 512.

6767 conjugacy classes of subgroups.

The subgroup lattice has 1794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59480C212yesmaximal, complemented
2#59124C212yesmaximal, complemented
3#54844C214yesmaximal, complemented
4#53450C214yesmaximal, complemented
5#51899C214yesmaximal, complemented
6#49998C214yesmaximal, complemented
7#47932C214yesmaximal, complemented
8#47831C214yesmaximal, complemented
9#45992C212yesmaximal, complemented
10#45610C212yesmaximal, complemented
11#45437C211yesmaximal, characteristic, complemented
12#44936C211yesmaximal, characteristic, complemented
13#44936C211yesmaximal, characteristic, complemented
14#44931C211yesmaximal, characteristic, complemented
15#43886C214yesmaximal, complemented
16#43113C214yesmaximal, complemented
17#42430C211yesmaximal, characteristic, complemented
18#42425C211yesmaximal, characteristic, complemented
19#40164C212yesmaximal, complemented
20#40126C212yesmaximal, complemented
21#39361C212yesmaximal, complemented
22#39336C212yesmaximal, complemented
23#37319C211yesmaximal, characteristic, complemented
24#36592C211yesmaximal, characteristic, complemented
25#36498C211yesmaximal, characteristic, complemented
26#36370C211yesmaximal, characteristic, complemented
27D4×#127C211yesmaximal, characteristic, complemented
28#35741C211yesmaximal, characteristic, complemented
29#35691C211yesmaximal, characteristic, complemented
30#35537C211yesmaximal, characteristic, complemented
31#34968C211yesmaximal, characteristic, complemented
32C2×#560C2214yescomplemented
33C2×#550C2214yescomplemented
34C2×#550C2212yescomplemented
35C2×#550C2211yescharacteristic, complemented
36C2×#550C2211yescharacteristic, complemented
37C2×#546C2214yescomplemented
38C2×D42C2211yescharacteristic
39C2×D42C2214yescomplemented
40C2×D42C2211yescharacteristic, complemented
41C2×D42C2212yescomplemented
42C2×#540C2211yescharacteristic, complemented
43C2×#535C2214yescomplemented
44C2×#534C2214yescomplemented
45C22×#127C2212yes—
46C2×#518C2211yescharacteristic, complemented
47#2867C2211yescharacteristic, complemented
48#2867C2212yescomplemented
49#2864C2211yescharacteristic, complemented
50#2860C2212yescomplemented
51#2856C2212yescomplemented
52#2854C2212yescomplemented
53#2829C2214yescomplemented
54#2818C2214yescomplemented
55#2815C2212yescomplemented
56#2813C2212yescomplemented
57#2803C2214yescomplemented
58#2753C2214yescomplemented
59#2749C2214yescomplemented
60#2714C2214yescomplemented
61#2710C2214yescomplemented
62#2709C2214yescomplemented
63#2709C2214yescomplemented
64#2701C2214yescomplemented
65#2699C2214yescomplemented
66#2699C2214yescomplemented
67#2699C2214yescomplemented
68#2699C2214yescomplemented
69#2688C2214yescomplemented
70#2688C2214yescomplemented
71#2685C2214yescomplemented
72#2685C2214yescomplemented
73#2682C2214yescomplemented
74#2678C2214yescomplemented
75#2676C2214yescomplemented
76#2675C2214yescomplemented
77#2673C2214yescomplemented
78#2673C2214yescomplemented
79#2673C2214yescomplemented
80#2673C2214yescomplemented
81#2673C2214yescomplemented
82#2673C2214yescomplemented
83#2673C2214yescomplemented
84#2673C2214yescomplemented
85#2673C2214yescomplemented
86#2673C2214yescomplemented
87#2671C2214yescomplemented
88#2671C2214yescomplemented
89#2671C2214yescomplemented
90#2671C2214yescomplemented
91#2671C2214yescomplemented
92#2670C2214yescomplemented
93#2669C2214yescomplemented
94#2669C2214yescomplemented
95#2669C2214yescomplemented
96#2669C2214yescomplemented
97#2669C2214yescomplemented
98#2669C2214yescomplemented
99#2669C2214yescomplemented
100#2669C2214yescomplemented
101#2669C2214yescomplemented
102#2669C2214yescomplemented
103#2668C2214yescomplemented
104#2668C2214yescomplemented
105#2661C2212yescomplemented
106#2661C2214yescomplemented
107#2656C2212yescomplemented
108#2635C2212yescomplemented
109#2635C2214yescomplemented
110#2619C2214yescomplemented
111#2619C2211yescharacteristic, complemented
112#2619C2211yescharacteristic, complemented
113#2617C2212yescomplemented
114#2615C2212yescomplemented
115#2613C2212yescomplemented
116#2613C2214yescomplemented
117#2600C2214yescomplemented
118#2597C2214yescomplemented
119#2580C2211yescharacteristic, complemented
120#2580C2211yescharacteristic, complemented
121#2580C2212yescomplemented
122#2566C2211yescharacteristic, complemented
123#2566C2211yescharacteristic, complemented
124#2555C2214yescomplemented
125#2555C2214yescomplemented
126#2548C2212yescomplemented
127#2548C2212yescomplemented
128#2543C2212yescomplemented
129#2541C2211yescharacteristic
130#2541C2211yescharacteristic
131#2541C2214yescomplemented
132#2541C2211yescharacteristic, complemented
133#2541C2212yescomplemented
134#2541C2214yescomplemented
135#2541C2214yescomplemented
136#2541C2214yescomplemented
137#2541C2211yescharacteristic, complemented
138#2541C2212yescomplemented
139#2541C2211yescharacteristic, complemented
140#2541C2211yescharacteristic, complemented
141#2541C2212yescomplemented
142#2541C2212yescomplemented
143#2541C2212yescomplemented
144#2539C2212yescomplemented
145#2535C2211yescharacteristic
146#2535C2211yescharacteristic, complemented
147#2534C2214yescomplemented
148#2525C2212yescomplemented
149#2521C2212yescomplemented
150#2520C2212yescomplemented
151#2515C2212yescomplemented
152#2507C2212yescomplemented
153#2500C2211yescharacteristic, complemented
154#2500C2211yescharacteristic, complemented
155#2497C2212yescomplemented
156#2490C2212yescomplemented
157#2479C2214yescomplemented
158#2471C2214yescomplemented
159#2468C2214yescomplemented
160#2468C2212yescomplemented
161#2465C2212yescomplemented
162#2464C2214yescomplemented
163#2464C2214yescomplemented
164#2461C2212yes—
165#2459C2214yescomplemented
166#2458C2214yescomplemented
167#2458C2212yescomplemented
168#2457C2214yescomplemented
169#2457C2214yescomplemented
170#2456C2214yescomplemented
171#2456C2214yescomplemented
172#2456C2214yescomplemented
173#2454C2212yescomplemented
174#2445C2212yes—
175#2445C2212yescomplemented
176#2445C2212yescomplemented
177#2445C2212yescomplemented
178#2445C2212yescomplemented
179#2445C2212yescomplemented
180#2433C2212yes—
181#2433C2212yes—
182#2433C2211yescharacteristic
183#2433C2214yescomplemented
184#2433C2214yescomplemented
185#2433C2212yescomplemented
186#2433C2214yescomplemented
187#2433C2212yescomplemented
188#2433C2212yescomplemented
189#2433C2212yescomplemented
190#2433C2212yescomplemented
191#2433C2211yescharacteristic, complemented
192#2431C2214yescomplemented
193#2431C2214yescomplemented
194#2430C2214yescomplemented
195#2430C2212yescomplemented
196#2430C2214yescomplemented
197#2428C2212yescomplemented
198#2428C2212yescomplemented
199#2428C2214yescomplemented
200#2428C2214yescomplemented
201#2428C2212yescomplemented
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2428C2212yescomplemented
205#2428C2212yescomplemented
206#2428C2212yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2424C2214yescomplemented
211#2424C2214yescomplemented
212#2420C2212yescomplemented
213#2420C2212yescomplemented
214#2414C2212yescomplemented
215#2411C2214yescomplemented
216#2410C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2410C2214yescomplemented
221#2410C2214yescomplemented
222#2408C2212yes—
223#2408C2214yescomplemented
224#2408C2212yescomplemented
225#2404C2214yescomplemented
226#2404C2214yescomplemented
227#2404C2212yescomplemented
228#2403C2214yescomplemented
229#2399C2211yescharacteristic, complemented
230#2398C2211yescharacteristic, complemented
231#2396C2211yescharacteristic, complemented
232#2392C2211yescharacteristic
233#2388C2212yescomplemented
234C2×#392C2212yes—
235#2377C2214yescomplemented
236#2366C2212yescomplemented
237#2364C2214yescomplemented
238#2363C2212yescomplemented
239#2359C2214yescomplemented
240#2358C2214yescomplemented
241#2357C2211yescharacteristic, complemented
242#2357C2212yescomplemented
243#2357C2211yescharacteristic, complemented
244#2349C2211yescharacteristic, complemented
245#2349C2211yescharacteristic, complemented
246D4×C22⋊C4C2212yescomplemented
247D4×C22⋊C4C2212yescomplemented
248D4×C22⋊C4C2212yescomplemented
249#2333C2214yescomplemented
250#2328C2211yescharacteristic, complemented
251#2328C2211yescharacteristic, complemented
252#2328C2211yescharacteristic, complemented
253#2328C2211yescharacteristic, complemented
254#2321C2214yescomplemented
255C4×#127C2211yescharacteristic
256C4×#127C2212yescomplemented
257C4×#127C2211yescharacteristic, complemented
258C4×#126C2212yescomplemented
259C4×#124C2212yescomplemented
260C4×C22⋊Q8C2212yescomplemented
261C4×#123C2212yescomplemented
262C4×#121C2212yescomplemented
263#2298C2211yescharacteristic, complemented
264#2293C2212yescomplemented
265C42×Q8C2211yescharacteristic, complemented
266C42×D4C2211yescharacteristic, complemented
267C22×#41C2312yes—
268C22×#41C2312yes—
269C22×#41C2314yes—
270C23×D4C2312yes—
271C23×D4C2311yescharacteristic
272C23×D4C2312yes—
273C23×D4C2314yes—
274C23×D4C2312yes—
275C23×D4C2314yes—
276C23×D4C2312yes—
277C23×D4C2314yes—
278#560—416no—
279#550—44no—
280#550—44no—
281#550—48no—
282#550—416no—
283#546—416no—
284D42—44no—
285D42—44no—
286D42—416no—
287D42—48no—
288#540—44no—
289#535—416no—
290#534—416no—
291C2×#127—48no—
292C2×#127C2311yescharacteristic
293C2×#127C2311yescharacteristic
294C2×#127C2311yescharacteristic
295C2×#127C2311yescharacteristic
296C2×#127C2312yes—
297C2×#127C2311yescharacteristic
298C2×#127C2312yes—
299C2×#127C2314yes—
300C2×#127C2311yescharacteristic
301C2×#127C2312yes—
302C2×#127C2314yes—
303C2×#127C2314yes—
304C2×#127C2314yes—
305C2×#127C2314yes—
306C2×#127C2314yes—
307C2×#127C2312yes—
308C2×#127C2312yes—
309C2×#127C2312yes—
310C2×#127C2312yes—
311C2×#127C2314yes—
312C2×#127C2314yes—
313C2×#127C2314yes—
314C2×#127C2312yes—
315C2×#127C2311yescharacteristic
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2314yes—
321C2×#124C2314yes—
322C2×#123C2314yes—
323C2×#123C2312yes—
324C2×#123C2314yes—
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2314yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2311yescharacteristic
355C2×#121C2314yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396#518—44no—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×#117C2311yescharacteristic
424C2×#117C2314yes—
425C2×#117C2311yescharacteristic
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2312yes—
431C22×C42C2312yes—
432#400C2314yes—
433#400C2311yescharacteristic
434#400C2312yes—
435#399C2314yes—
436#399C2312yes—
437#399C2312yes—
438#399C2311yescharacteristic
439#399C2314yes—
440#398C2314yes—
441#398C2311yescharacteristic
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2311yescharacteristic
451#397C2312yes—
452#397C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2314yes—
459#395C2311yescharacteristic
460#395C2312yes—
461#395C2312yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2311yescharacteristic
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#393C2312yes—
501#393C2312yes—
502#393C2314yes—
503#393C2311yescharacteristic
504#393C2312yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2312yes—
515#392C2314yes—
516#392C2314yes—
517#392C2312yes—
518#392C2312yes—
519#392C2314yes—
520#392C2314yes—
521#392C2312yes—
522#392C2312yes—
523#392C2312yes—
524#392C2312yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2312yes—
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2311yescharacteristic
533#392C2312yes—
534#392C2314yes—
535#392C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2312yes—
539#392C2314yes—
540#392C2312yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#391C2312yes—
557#391C2312yes—
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2314yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2314yes—
581#390C2314yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2314yes—
590#390C2314yes—
591#390C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2312yes—
679#386C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#383C2312yes—
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2312yes—
700#381C2314yes—
701#381C2312yes—
702#381C2312yes—
703#381C2314yes—
704#381C2312yes—
705#381C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#379C2314yes—
713#379C2314yes—
714#379C2314yes—
715#379C2314yes—
716C4×C4⋊C4C2311yescharacteristic
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2311yescharacteristic
722C4×C4⋊C4C2311yescharacteristic
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C22⋊C4C2312yes—
730C4×C22⋊C4C2312yes—
731C4×C22⋊C4C2312yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2311yescharacteristic
742C4×C22⋊C4C2311yescharacteristic
743C4×C22⋊C4C2312yes—
744#376C2311yescharacteristic
745C2×#95C2312yes—
746C2×#95C2312yes—
747C43C2312yes—
748C43C2311yescharacteristic
749C25C2414yes—
750C25C2412yes—
751C25C2414yes—
752C2×#41—48no—
753C2×#41—48no—
754C2×#41—48no—
755C2×#41—44no—
756C2×#41—48no—
757C2×#41—48no—
758C2×#41—44no—
759C22×Q8C2411yescharacteristic
760C22×Q8C2412yes—
761C22×D4—24no—
762C22×D4—28no—
763C22×D4—42no—
764C22×D4—42no—
765C22×D4—44no—
766C22×D4—48no—
767C22×D4—48no—
768C22×D4—44no—
769C22×D4—44no—
770C22×D4—48no—
771C22×D4—44no—
772C22×D4—44no—
773C22×D4—48no—
774C22×D4—44no—
775C22×D4—44no—
776C22×D4—48no—
777C22×D4—48no—
778C22×D4—48no—
779C22×D4—48no—
780C22×D4—48no—
781C22×D4—48no—
782C22×D4—48no—
783C22×D4C2411yescharacteristic
784C22×D4C2411yescharacteristic
785C22×D4C2411yescharacteristic
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2411yescharacteristic
789C22×D4C2414yes—
790C22×D4C2412yes—
791C22×D4C2414yes—
792C22×D4C2411yescharacteristic
793C22×D4C2412yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2412yes—
805C22×D4C2412yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2412yes—
811C22×D4C2412yes—
812C22×D4C2414yes—
813C22×D4C2414yes—
814C22×D4C2414yes—
815C22×D4C2412yes—
816C22×D4C2414yes—
817C22×D4C2414yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2414yes—
822C22×D4C2414yes—
823C22×D4C2414yes—
824C22×D4C2414yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2414yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2414yes—
844#127—24no—
845#127—28no—
846#127—24no—
847#127—24no—
848#127—24no—
849#127—44no—
850#127—44no—
851#127—42no—
852#127—44no—
853#127—42no—
854#127—48no—
855#127—42no—
856#127—48no—
857#127—44no—
858#127—44no—
859#127—44no—
860#127—44no—
861#127—48no—
862#127—48no—
863#127—48no—
864#127—48no—
865#127—48no—
866#127—48no—
867#127—48no—
868#126—28no—
869#126—48no—
870#125—42no—
871#124—28no—
872#124—48no—
873#124—48no—
874#123—28no—
875#123—216no—
876#123—48no—
877#123—48no—
878#123—48no—
879#123—44no—
880#123—44no—
881#123—48no—
882#123—48no—
883#123—48no—
884C22⋊Q8—28no—
885#121—216no—
886#121—216no—
887#121—216no—
888#121—48no—
889#121—48no—
890#121—44no—
891#121—44no—
892#121—48no—
893#121—48no—
894#121—48no—
895#121—48no—
896#121—48no—
897#121—48no—
898#121—48no—
899#121—48no—
900#121—48no—
901#121—48no—
902#121—48no—
903#121—48no—
904#121—48no—
905#121—48no—
906#121—48no—
907#121—48no—
908#121—48no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—48no—
913#121—44no—
914#121—44no—
915#121—42no—
916#121—42no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—48no—
926#121—48no—
927#121—48no—
928#121—48no—
929#120—216no—
930#120—216no—
931#120—48no—
932#120—48no—
933#120—48no—
934#120—48no—
935#120—48no—
936#120—48no—
937#120—48no—
938#120—48no—
939#120—48no—
940#120—48no—
941#120—48no—
942#120—48no—
943#120—48no—
944#120—48no—
945#120—48no—
946#120—48no—
947#120—48no—
948C4×Q8—28no—
949C4×Q8—24no—
950C4×Q8—44no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—24no—
957C4×D4—24no—
958C4×D4—48no—
959C4×D4—48no—
960C4×D4—48no—
961C4×D4—44no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—48no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—48no—
973C4×D4—48no—
974#117—24no—
975#117—48no—
976#117—42no—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C22⋊C4—44no—
1013C2×C22⋊C4—44no—
1014C2×C22⋊C4—48no—
1015C2×C22⋊C4—48no—
1016C2×C22⋊C4—48no—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C42—44no—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152C24—28no—
1153C24—24no—
1154C24—28no—
1155C24—28no—
1156C24—42no—
1157C24—44no—
1158C24—42no—
1159C24—44no—
1160C24—44no—
1161C24—44no—
1162C24—44no—
1163C24—44no—
1164C24—44no—
1165C24—44no—
1166C24—44no—
1167C24—44no—
1168C24—44no—
1169C24—44no—
1170C24—44no—
1171C24C2511yescharacteristic
1172C24C2512yes—
1173C24C2514yes—
1174C24C2514yes—
1175C24C2512yes—
1176C24C2512yes—
1177C24C2512yes—
1178C24C2512yes—
1179#41—832no—
1180#41—816no—
1181#41—816no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—42no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—28no—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—28no—
1198C2×D4—28no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—28no—
1209C2×D4—24no—
1210C2×D4—28no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—28no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—28no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—42no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—416no—
1313C2×D4—816no—
1314C2×D4—832no—
1315C2×D4—816no—
1316C2×D4—832no—
1317C2×D4—832no—
1318C2×D4—816no—
1319C2×D4—816no—
1320C2×D4H(5,𝔽2)14yes—
1321C22×C4—24no—
1322C22×C4—28no—
1323C22×C4—24no—
1324C22×C4—28no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—28no—
1336C22×C4—28no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2514yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—28no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4H(5,𝔽2)18yes—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4H(5,𝔽2)18yes—
1493C42—22no—
1494C42—24no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—22no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—42no—
1508C42—42no—
1509C42—42no—
1510C42—44no—
1511C42—44no—
1512C42H(5,𝔽2)14yes—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—21no—
1524C23—24no—
1525C23—22no—
1526C23—22no—
1527C23—24no—
1528C23—24no—
1529C23—24no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—24no—
1534C23—24no—
1535C23—24no—
1536C23—24no—
1537C23—24no—
1538C23—24no—
1539C23—21no—
1540C23—22no—
1541C23—24no—
1542C23—24no—
1543C23—24no—
1544C23—22no—
1545C23—24no—
1546C23—24no—
1547C23—24no—
1548C23—24no—
1549C23—24no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23—24no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—416no—
1558C23—48no—
1559C23—88no—
1560C23—88no—
1561C23—88no—
1562C23—88no—
1563C23—88no—
1564C23—88no—
1565C23—88no—
1566C23—88no—
1567C23—88no—
1568C23—88no—
1569C23—164no—
1570C23—164no—
1571C23—164no—
1572C23—162no—
1573C23—164no—
1574C23—162no—
1575C23—164no—
1576C23C2×H(5,𝔽2)14yes—
1577C23C2×H(5,𝔽2)14yes—
1578C23C2611yescharacteristic
1579Q8—28no—
1580Q8—48no—
1581D4—28no—
1582D4—28no—
1583D4—416no—
1584D4—48no—
1585D4—416no—
1586D4—48no—
1587D4—44no—
1588D4—44no—
1589D4—48no—
1590D4—48no—
1591D4—44no—
1592D4—88no—
1593D4—88no—
1594D4—88no—
1595D4—88no—
1596D4—88no—
1597D4—88no—
1598D4—88no—
1599D4—84no—
1600D4—84no—
1601D4—88no—
1602D4—88no—
1603D4—88no—
1604D4—84no—
1605D4—84no—
1606D4—88no—
1607D4—88no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—88no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—88no—
1616D4—164no—
1617D4—164no—
1618D4—164no—
1619D4—164no—
1620D4—162no—
1621D4—162no—
1622D4—162no—
1623D4—162no—
1624D4—164no—
1625D4—164no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—24no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—48no—
1678C2×C4—48no—
1679C2×C4—416no—
1680C2×C4—44no—
1681C2×C4—48no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—88no—
1685C2×C4—84no—
1686C2×C4—88no—
1687C2×C4—84no—
1688C2×C4—88no—
1689C2×C4—88no—
1690C2×C4—164no—
1691C2×C4—162no—
1692C2×C4—162no—
1693C2×C4C2×H(5,𝔽2)14yes—
1694C2×C4C2×H(5,𝔽2)14yes—
1695C2×C4C2×H(5,𝔽2)14yes—
1696C2×C4C2×H(5,𝔽2)14yes—
1697C2×C4C2×H(5,𝔽2)12yes—
1698C2×C4C2×H(5,𝔽2)12yes—
1699C2×C4C2×H(5,𝔽2)14yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4#58512yes—
1703C22—28no—
1704C22—24no—
1705C22—24no—
1706C22—24no—
1707C22—24no—
1708C22—42no—
1709C22—44no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—44no—
1716C22—44no—
1717C22—44no—
1718C22—42no—
1719C22—44no—
1720C22—44no—
1721C22—44no—
1722C22—44no—
1723C22—44no—
1724C22—44no—
1725C22—44no—
1726C22—44no—
1727C22—44no—
1728C22—44no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—44no—
1733C22—42no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—44no—
1738C22—44no—
1739C22—42no—
1740C22—41no—
1741C22—42no—
1742C22—41no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—44no—
1747C22—44no—
1748C22—42no—
1749C22—1616no—
1750C22—168no—
1751C22—1616no—
1752C22C22×H(5,𝔽2)11yescharacteristic
1753C22C22×H(5,𝔽2)12yes—
1754C22C22×H(5,𝔽2)12yes—
1755C22C22×H(5,𝔽2)11yescharacteristic
1756C22C2×#58511yescharacteristic
1757C4—24no—
1758C4—24no—
1759C4—24no—
1760C4—24no—
1761C4—22no—
1762C4—24no—
1763C4—22no—
1764C4—44no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—44no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—41no—
1775C4—41no—
1776C4—42no—
1777C4—41no—
1778C4—42no—
1779C4#354214yes—
1780C2—44no—
1781C2—44no—
1782C2—82no—
1783C2—84no—
1784C2—84no—
1785C2—82no—
1786C2—81no—
1787C2—82no—
1788C2C2×#354211yescharacteristic
1789C2#6283211yescharacteristic
1790C2#6283211yescharacteristic
1791C2#6301112yes—
1792C2#6301412yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59480C2semidirect
2. #59124C2semidirect
3. #54844C2semidirect
4. #53450C2semidirect
5. #51899C2semidirect
6. #49998C2semidirect
7. #47932C2semidirect
8. #47831C2semidirect
9. #45992C2semidirect
10. #45610C2semidirect
11. #45437C2semidirect
12. #44936C2semidirect
13. #44936C2semidirect
14. #44931C2semidirect
15. #43886C2semidirect
16. #43113C2semidirect
17. #42430C2semidirect
18. #42425C2semidirect
19. #40164C2semidirect
20. #40126C2semidirect
21. #39361C2semidirect
22. #39336C2semidirect
23. #37319C2semidirect
24. #36592C2semidirect
25. #36498C2semidirect
26. #36370C2semidirect
27. D4×#127C2semidirect
28. #35741C2semidirect
29. #35691C2semidirect
30. #35537C2semidirect
31. #34968C2semidirect
32. C2×#560C22semidirect
33. C2×#550C22semidirect
34. C2×#550C22semidirect
35. C2×#550C22semidirect
36. C2×#550C22semidirect
37. C2×#546C22semidirect
39. C2×D42C22semidirect
40. C2×D42C22semidirect
41. C2×D42C22semidirect
42. C2×#540C22semidirect
43. C2×#535C22semidirect
44. C2×#534C22semidirect
46. C2×#518C22semidirect
47. #2867C22semidirect
48. #2867C22semidirect
49. #2864C22semidirect
50. #2860C22semidirect
51. #2856C22semidirect
52. #2854C22semidirect
53. #2829C22semidirect
54. #2818C22semidirect
55. #2815C22semidirect
56. #2813C22semidirect
57. #2803C22semidirect
58. #2753C22semidirect
59. #2749C22semidirect
60. #2714C22semidirect
61. #2710C22semidirect
62. #2709C22semidirect
63. #2709C22semidirect
64. #2701C22semidirect
65. #2699C22semidirect
66. #2699C22semidirect
67. #2699C22semidirect
68. #2699C22semidirect
69. #2688C22semidirect
70. #2688C22semidirect
71. #2685C22semidirect
72. #2685C22semidirect
73. #2682C22semidirect
74. #2678C22semidirect
75. #2676C22semidirect
76. #2675C22semidirect
77. #2673C22semidirect
78. #2673C22semidirect
79. #2673C22semidirect
80. #2673C22semidirect
81. #2673C22semidirect
82. #2673C22semidirect
83. #2673C22semidirect
84. #2673C22semidirect
85. #2673C22semidirect
86. #2673C22semidirect
87. #2671C22semidirect
88. #2671C22semidirect
89. #2671C22semidirect
90. #2671C22semidirect
91. #2671C22semidirect
92. #2670C22semidirect
93. #2669C22semidirect
94. #2669C22semidirect
95. #2669C22semidirect
96. #2669C22semidirect
97. #2669C22semidirect
98. #2669C22semidirect
99. #2669C22semidirect
100. #2669C22semidirect
101. #2669C22semidirect
102. #2669C22semidirect
103. #2668C22semidirect
104. #2668C22semidirect
105. #2661C22semidirect
106. #2661C22semidirect
107. #2656C22semidirect
108. #2635C22semidirect
109. #2635C22semidirect
110. #2619C22semidirect
111. #2619C22semidirect
112. #2619C22semidirect
113. #2617C22semidirect
114. #2615C22semidirect
115. #2613C22semidirect
116. #2613C22semidirect
117. #2600C22semidirect
118. #2597C22semidirect
119. #2580C22semidirect
120. #2580C22semidirect
121. #2580C22semidirect
122. #2566C22semidirect
123. #2566C22semidirect
124. #2555C22semidirect
125. #2555C22semidirect
126. #2548C22semidirect
127. #2548C22semidirect
128. #2543C22semidirect
131. #2541C22semidirect
132. #2541C22semidirect
133. #2541C22semidirect
134. #2541C22semidirect
135. #2541C22semidirect
136. #2541C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
141. #2541C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2539C22semidirect
146. #2535C22semidirect
147. #2534C22semidirect
148. #2525C22semidirect
149. #2521C22semidirect
150. #2520C22semidirect
151. #2515C22semidirect
152. #2507C22semidirect
153. #2500C22semidirect
154. #2500C22semidirect
155. #2497C22semidirect
156. #2490C22semidirect
157. #2479C22semidirect
158. #2471C22semidirect
159. #2468C22semidirect
160. #2468C22semidirect
161. #2465C22semidirect
162. #2464C22semidirect
163. #2464C22semidirect
165. #2459C22semidirect
166. #2458C22semidirect
167. #2458C22semidirect
168. #2457C22semidirect
169. #2457C22semidirect
170. #2456C22semidirect
171. #2456C22semidirect
172. #2456C22semidirect
173. #2454C22semidirect
175. #2445C22semidirect
176. #2445C22semidirect
177. #2445C22semidirect
178. #2445C22semidirect
179. #2445C22semidirect
183. #2433C22semidirect
184. #2433C22semidirect
185. #2433C22semidirect
186. #2433C22semidirect
187. #2433C22semidirect
188. #2433C22semidirect
189. #2433C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2431C22semidirect
193. #2431C22semidirect
194. #2430C22semidirect
195. #2430C22semidirect
196. #2430C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2428C22semidirect
205. #2428C22semidirect
206. #2428C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2424C22semidirect
211. #2424C22semidirect
212. #2420C22semidirect
213. #2420C22semidirect
214. #2414C22semidirect
215. #2411C22semidirect
216. #2410C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
221. #2410C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2404C22semidirect
226. #2404C22semidirect
227. #2404C22semidirect
228. #2403C22semidirect
229. #2399C22semidirect
230. #2398C22semidirect
231. #2396C22semidirect
233. #2388C22semidirect
235. #2377C22semidirect
236. #2366C22semidirect
237. #2364C22semidirect
238. #2363C22semidirect
239. #2359C22semidirect
240. #2358C22semidirect
241. #2357C22semidirect
242. #2357C22semidirect
243. #2357C22semidirect
244. #2349C22semidirect
245. #2349C22semidirect
246. D4×C22⋊C4C22semidirect
247. D4×C22⋊C4C22semidirect
248. D4×C22⋊C4C22semidirect
249. #2333C22semidirect
250. #2328C22semidirect
251. #2328C22semidirect
252. #2328C22semidirect
253. #2328C22semidirect
254. #2321C22semidirect
256. C4×#127C22semidirect
257. C4×#127C22semidirect
258. C4×#126C22semidirect
259. C4×#124C22semidirect
260. C4×C22⋊Q8C22semidirect
261. C4×#123C22semidirect
262. C4×#121C22semidirect
263. #2298C22semidirect
264. #2293C22semidirect
265. C42×Q8C22semidirect
266. C42×D4C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#594802
#591242
#548442
#534502
#518992
#499982
#479322
#478312
#459922
#456102
#454372
#449362
#449312
#438862
#431132
#424302
#424252
#401642
#401262
#393612
#393362
#373192
#365922
#364982
#363702
D4×#1272
#357412
#356912
#355372
#349682